242594719511040 has 2560 divisors, whose sum is σ = 1034642178662400. Its totient is φ = 53299575521280.

The previous prime is 242594719511033. The next prime is 242594719511143. The reversal of 242594719511040 is 40115917495242.

It is a happy number.

242594719511040 is a `hidden beast` number, since 2 + 4 + 2 + 59 + 4 + 71 + 9 + 511 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26308933630 + ... + 26308942850.

It is an arithmetic number, because the mean of its divisors is an integer number (404157101040).

Almost surely, 2^{242594719511040} is an apocalyptic number.

242594719511040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242594719511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321089331200).

242594719511040 is an abundant number, since it is smaller than the sum of its proper divisors (792047459151360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242594719511040 is a wasteful number, since it uses less digits than its factorization.

242594719511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9375 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 242594719511040 in words is "two hundred forty-two trillion, five hundred ninety-four billion, seven hundred nineteen million, five hundred eleven thousand, forty".